1349825737788 has 192 divisors, whose sum is σ = 3985262668800. Its totient is φ = 391097963520.

The previous prime is 1349825737769. The next prime is 1349825737823. The reversal of 1349825737788 is 8877375289431.

1349825737788 is a `hidden beast` number, since 1 + 3 + 49 + 8 + 2 + 573 + 7 + 7 + 8 + 8 = 666.

It is a super-2 number, since 2×1349825737788² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80679408 + ... + 80696136.

It is an arithmetic number, because the mean of its divisors is an integer number (20756576400).

Almost surely, 2^{1349825737788} is an apocalyptic number.

1349825737788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349825737788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992631334400).

1349825737788 is an abundant number, since it is smaller than the sum of its proper divisors (2635436931012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1349825737788 is a wasteful number, since it uses less digits than its factorization.

1349825737788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729 (or 19721 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 1349825737788 in words is "one trillion, three hundred forty-nine billion, eight hundred twenty-five million, seven hundred thirty-seven thousand, seven hundred eighty-eight".